Paper Citation Record · LEDGER

Locality Implies Complex Numbers in Quantum Mechanics

As of 5 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 3 inbound Pith citation observations for arXiv:2504.07808.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2504.07808 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T20:34:14.901497Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:19:41.494967Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-08T22:35:40.539034Z

Reference resolution

14 of 14 outbound references displayed

verified exact5
verified fuzzy6
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f24e33f4-868c-40d1-986a-4e1bf49fae54 · outbound

This paper cites Birkhoﬀ and J.

Locality Implies Complex Numbers in Quantum Mechanics Birkhoﬀ and J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T20:35:06.686522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation ece746cc-9494-463e-8832-47f9e2560c9f · outbound

This paper cites an unresolved cited work.

Locality Implies Complex Numbers in Quantum Mechanics Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-22T20:35:06.688102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 6a7ce0ea-0174-4c35-95f6-87023a0c3c84 · outbound

This paper cites an unresolved cited work.

Locality Implies Complex Numbers in Quantum Mechanics Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-22T20:35:06.673653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f55d1b71-ec1a-4794-8833-84215421dd60 · outbound

This paper cites Myrheim, Quantum mechanics on a real Hilbert space (19 99).

Locality Implies Complex Numbers in Quantum Mechanics Myrheim, Quantum mechanics on a real Hilbert space (19 99)

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-22T20:35:06.489049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 46e39ca6-a6ab-4726-833b-3cf87ea95969 · outbound

This paper cites McKague, M.

Locality Implies Complex Numbers in Quantum Mechanics McKague, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T20:35:06.678940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 469a8a5c-9b09-497b-8388-cc84ea7bb0bf · outbound

This paper cites A 2 rebit gate universal for quantum computing.

Locality Implies Complex Numbers in Quantum Mechanics A 2 rebit gate universal for quantum computing

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-05-22T20:35:06.485692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation bdd5238a-606c-451d-b4f7-108d2d79153b · outbound

This paper cites Optimal Information Transfer and Real-Vector-Space Quantum Theory.

Locality Implies Complex Numbers in Quantum Mechanics Optimal Information Transfer and Real-Vector-Space Quantum Theory

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-05-22T20:35:06.494409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a6347bd1-affd-4a00-89cc-b17d2c105687 · outbound

This paper cites an unresolved cited work.

Locality Implies Complex Numbers in Quantum Mechanics Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-05-22T20:35:06.677008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 0f21b88a-0827-4658-a07a-24a46a57de1a · outbound

This paper cites Li et al., Testing real quantum theory in an optical qua ntum network, Phys.

Locality Implies Complex Numbers in Quantum Mechanics Li et al., Testing real quantum theory in an optical qua ntum network, Phys

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T20:35:06.675341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 3c78d007-a970-4c77-bd96-a259b4746d4b · outbound

This paper cites Chen et al., Ruling out real-valued standard formali sm of quantum theory, Phys.

Locality Implies Complex Numbers in Quantum Mechanics Chen et al., Ruling out real-valued standard formali sm of quantum theory, Phys

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T20:35:06.685031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 848a2799-af7d-4ad3-9071-312b50235a45 · outbound

This paper cites Wu et al., Experimental refutation of real-valued qu antum mechanics under strict locality conditions, Phys.

Locality Implies Complex Numbers in Quantum Mechanics Wu et al., Experimental refutation of real-valued qu antum mechanics under strict locality conditions, Phys

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T20:35:06.682667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation b08164c3-a745-438f-a6a9-3b9ebe79ee06 · outbound

This paper cites Quantum mechanics based on real numbers: A consistent description.

Locality Implies Complex Numbers in Quantum Mechanics Quantum mechanics based on real numbers: A consistent description

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-06-23T02:11:57.419444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 78ecf5f9-9fdd-47fe-b3e4-6b227b44ed56 · outbound

This paper cites Hoﬀreumon, M.

Locality Implies Complex Numbers in Quantum Mechanics Hoﬀreumon, M

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-22T20:35:06.483011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a6c44bce-ba3e-4f9c-bcb5-2282932910aa · outbound

This paper cites Nicholas, and R.

Locality Implies Complex Numbers in Quantum Mechanics Nicholas, and R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T20:35:06.680485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Pith citing papers

Observation e91c35be-82af-4ff7-b512-aa0e422d46c2 · inbound

Quantum mechanics over real numbers fully reproduces standard quantum theory cites this paper.

Quantum mechanics over real numbers fully reproduces standard quantum theory Locality Implies Complex Numbers in Quantum Mechanics

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-05-11T13:16:02.795576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation cd72999a-48ca-4e74-92ba-38599106c23c · inbound

Hidden Complex Structure in Quotient-Space Real Quantum Mechanics cites this paper.

Hidden Complex Structure in Quotient-Space Real Quantum Mechanics Locality Implies Complex Numbers in Quantum Mechanics

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-07-08T22:35:40.540201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 9456e9bd-98ea-417a-8f39-502227b7adc6 · inbound

Real Quantum Field Theory, J-Quantization, and Standard Model cites this paper.

Real Quantum Field Theory, J-Quantization, and Standard Model Locality Implies Complex Numbers in Quantum Mechanics

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T10:19:41.494967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.